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(1+m1−m+4m1+m2+8m1−m4−1−m1+m)÷(1+m21−m2+4m21+m2−1−m21+m2)\left(\frac{1+m}{1-m}+\frac{4m}{1+m^2}+\frac{8m}{1-m^4}-\frac{1-m}{1+m}\right)\div\left(\frac{1+m^2}{1-m^2}+\frac{4m^2}{1+m^2}-\frac{1-m^2}{1+m^2}\right)(1−m1+m+1+m24m+1−m48m−1+m1−m)÷(1−m21+m2+1+m24m2−1+m21−m2)
2(1+m4)m\frac{2\left(1+m^4\right)}{m}m2(1+m4)
2(1−m4)m\frac{2\left(1-m^4\right)}{m}m2(1−m4)
4(1−m4)m2\frac{4\left(1-m^4\right)}{m^2}m24(1−m4)
4(1−m2)m\frac{4\left(1-m^2\right)}{m}m4(1−m2)
a3+b3+c3−3abc(a−b)2+(b−c)2+(c−a)2\frac{a^3+b^3+c^3-3abc}{\left(a-b\right)^2+\left(b-c\right)^2+\left(c-a\right)^2}(a−b)2+(b−c)2+(c−a)2a3+b3+c3−3abc
a+b+c3\frac{a+b+c}{3}3a+b+c
2a+2b+2c2\frac{2a+2b+2c}{2}22a+2b+2c
a+b+c2\frac{a+b+c}{2}2a+b+c
a+b+c4\frac{a+b+c}{4}4a+b+c
(a2−b2−c2−2bc)(a+b−c)(a+b+c)(a2+c2−2ac−b2)\frac{\left(a^2-b^2-c^2-2bc\right)\left(a+b-c\right)}{\left(a+b+c\right)\left(a^2+c^2-2ac-b^2\right)}(a+b+c)(a2+c2−2ac−b2)(a2−b2−c2−2bc)(a+b−c)
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x3−x2−x+1x4−x3−3x2+5x−2\frac{x^3-x^2-x+1}{x^4-x^3-3x^2+5x-2}x4−x3−3x2+5x−2x3−x2−x+1
x+1x2+x−2\frac{x+1}{x^2+x-2}x2+x−2x+1
x−1x2+x−2\frac{x-1}{x^2+x-2}x2+x−2x−1
x+1x2+x+2\frac{x+1}{x^2+x+2}x2+x+2x+1
x+1x2−x−2\frac{x+1}{x^2-x-2}x2−x−2x+1
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